Pith Number

pith:UY54HVJR

pith:2017:UY54HVJRXPWPNQPNC45D5OJ7I7

not attested not anchored not stored refs pending

Minimal time problem for discrete crowd models with a localized vector field

Francesco Rossi, Michel Duprez (I2M), Morgan Morancey (I2M)

arxiv:1703.08049 v3 · 2017-03-23 · math.AP · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UY54HVJRXPWPNQPNC45D5OJ7I7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:20:39.888719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a63bc3d531bbecf6c1ed173a3eb93f47c08b765821753162301d98dd0be57bb7

Aliases

arxiv: 1703.08049 · arxiv_version: 1703.08049v3 · doi: 10.48550/arxiv.1703.08049 · pith_short_12: UY54HVJRXPWP · pith_short_16: UY54HVJRXPWPNQPN · pith_short_8: UY54HVJR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UY54HVJRXPWPNQPNC45D5OJ7I7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a63bc3d531bbecf6c1ed173a3eb93f47c08b765821753162301d98dd0be57bb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11cb6dcac407f93b795bfd47e3361d06ab4b318a1cfb651bdd6d2353b01d1aa3",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-23T12:55:33Z",
    "title_canon_sha256": "b312317a567f21c7dab4006270cf52441fbdc948291fcecc09ebcb666dd2688b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08049",
    "kind": "arxiv",
    "version": 3
  }
}